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Finding the Fourth Proportional to 38,496.83, 57,754.40 and 12,201.57

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Solution

The fourth proportional to 38,496.83, 57,754.40 and 12,201.57 is: 18,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.83 : 57,754.40 = 12,201.57 : x
  2. Step 2: Convert to fraction form
    38,496.83/57,754.40 = 12,201.57/x
  3. Step 3: Cross multiply
    38,496.83x = 57,754.40 × 12,201.57
  4. Step 4: Simplify right side
    38,496.83x = 704,694,354.41
  5. Step 5: Solve for x
    x = 704,694,354.41/38,496.83
  6. Step 6: Final answer
    x = 18,305.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.